Mathematics and Computer Science

Archive

Volume 1, Issue 2, July 2016

  • Trace Identities for Skew-Symmetric Matrices

    M. I. Krivoruchenko

    Issue: Volume 1, Issue 2, July 2016
    Pages: 21-28
    Received: 10 May 2016
    Accepted: 14 June 2016
    Published: 29 June 2016
    DOI: 10.11648/j.mcs.20160102.11
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    Abstract: We derive an expression for the product of the Pfaffians of two skew-symmetric matrices A and B as a sum of products of the traces of powers of AB and an expression for the inverse matrix A-1, or equivalently B-1, as a finite-order polynomial of AB with coefficients depending on the traces of powers of AB.
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  • New Analytical Solutions for the Flow of a Fourth Grade Fluid Past a Porous Plate

    Muhammet Yurusoy

    Issue: Volume 1, Issue 2, July 2016
    Pages: 29-35
    Received: 28 June 2016
    Accepted: 5 August 2016
    Published: 25 August 2016
    DOI: 10.11648/j.mcs.20160102.12
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    Abstract: The flow of fourth grade fluid flow over a porous plate with heat transfer is considered. By using the perturbation techniques, approximate analytical solutions for velocity and temperature profiles have been obtained. Comparing with the Newtonian effect, it turns out that if the second grade, third grade and fourth grade effects are small, an ordi... Show More
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